Nuprl Lemma : set-sig_wf
∀[Item:Type]. (set-sig{i:l}(Item) ∈ 𝕌')
Proof
Definitions occuring in Statement :
set-sig: set-sig{i:l}(Item),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
set-sig: set-sig{i:l}(Item),
so_lambda: λ2x.t[x],
so_apply: x[s],
record: record(x.T[x]),
implies: P ⇒ Q,
record+: record+,
record-select: r.x,
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
guard: {T},
prop: ℙ,
uimplies: b supposing a,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
and: P ∧ Q,
or: P ∨ Q
Latex:
\mforall{}[Item:Type]. (set-sig\{i:l\}(Item) \mmember{} \mBbbU{}')
Date html generated:
2016_05_17-PM-01_44_04
Last ObjectModification:
2015_12_28-PM-08_52_48
Theory : datatype-signatures
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